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Finding the Third Proportional to 96,244,547 and 207,829,945

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Solution

The third proportional to 96,244,547 and 207,829,945 is: 448,786,839.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,244,547 : 207,829,945 = 207,829,945 : x
  2. Step 2: Convert to fraction form
    96,244,547/207,829,945 = 207,829,945/x
  3. Step 3: Cross multiply
    96,244,547x = 207,829,945 × 207,829,945
  4. Step 4: Simplify right side
    96,244,547x = 43,193,286,038,703,024
  5. Step 5: Solve for x
    x = 43,193,286,038,703,024/96,244,547
  6. Step 6: Final answer
    x = 448,786,839.20

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.